Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays
文献类型：期刊论文
| 作者 | Xu, R; Chen, LS; Chaplain, MAJ |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2003-04-01 |
| 卷号 | 23期号:2页码:208-218 |
| 关键词 | nonautonomous Lotka-Volterra competitive system finite and infinite delay global asymptotic stability Lyapunov functional |
| ISSN号 | 0252-9602 |
| 英文摘要 | A delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedback is investigated. By means of a suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive solutions of the system. As a corollary, it is shown that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the delays are sufficiently small. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182833300008 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18794]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland |
| 推荐引用方式 GB/T 7714 | Xu, R,Chen, LS,Chaplain, MAJ. Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays[J]. ACTA MATHEMATICA SCIENTIA,2003,23(2):208-218. |
| APA | Xu, R,Chen, LS,&Chaplain, MAJ.(2003).Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays.ACTA MATHEMATICA SCIENTIA,23(2),208-218. |
| MLA | Xu, R,et al."Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays".ACTA MATHEMATICA SCIENTIA 23.2(2003):208-218. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。